Finding the Fourth Proportional to 1,016.57, 1,524.31 and 323.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.57 : 1,524.31 = 323.05 : x
2. Step 2: Convert to fraction form
   1,016.57/1,524.31 = 323.05/x
3. Step 3: Cross multiply
   1,016.57x = 1,524.31 × 323.05
4. Step 4: Simplify right side
   1,016.57x = 492,426.73
5. Step 5: Solve for x
   x = 492,426.73/1,016.57
6. Step 6: Final answer
   x = 484.40